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A Parking Pose and Trajectory Selection Algorithm Based on Artificial Potential Field and Particle Swarm Optimization 基于人工势场和粒子群优化的停车姿态和轨迹选择算法
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.349-353
Wei Huang, Xiangzhi Wei, Jiaye Zhu, K. Dai
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引用次数: 0
Quantitative Characterization of Warpage for Composite Components 复合材料构件翘曲量的定量表征
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.192-197
É. Martin, Remus Tutunea-Fatan, R. Gergely, D. Okonski
Introduction: Many governments have adopted stringent emissions standards for automobiles in order to reduce the detrimental effects they have on the environment [9]. The reduction of vehicle weight is one avenue to reduce vehicle emissions [7],[13] and composite components can play a key role in many potential solutions [1]. However, there are still many challenges to be overcome when it comes to the widespread use of the composite materials, particularly with respect to the mass production of composite parts and assemblies. One option for composite part fabrication is the long fiber thermoplastic direct (LFT-D) manufacturing process. According to this technology, parts can be produced from individual matrix and fiber components. This approach eliminates the need for a semi-finished product like glass mat thermoplastic (GMT) to be acquired from a material supplier and thus translates into cost savings for the composite part manufacturer [5]. Like many other thermal forming processes, the parts fabricated through LFT-D can experience a significant amount of deformation. Warpage can make parts difficult to incorporate in downstream assemblies. However, despite the importance of this problem, the quantitative characterization of the warpage presented in the surveyed literature is relatively simplistic. While no clear metric for part warpage exists at this time, prior studies have highlighted that part warpage can be reduced by changing molding processing parameters [3],[4],[6],[10],[11]. For many of these studies, part warpage is typically evaluated by the maximum deviation between the nominal and fabricated parts. Nonetheless, while the maximum value of the deviation between the two shapes is indeed important, warpage could be defined in many other ways. One alternative is to evaluate specific regions of the part, particularly those that are involved in subsequent assembly operations. Along these lines, the current study aims to propose alternative metrics capable of evaluating part warpage.
导言:许多政府对汽车采用了严格的排放标准,以减少汽车对环境的有害影响[9]。减轻车辆重量是减少车辆排放的一种途径[7],[13],复合材料部件可以在许多潜在的解决方案中发挥关键作用[1]。然而,当涉及到复合材料的广泛使用时,仍然有许多挑战需要克服,特别是在复合材料零件和组件的大规模生产方面。复合材料部件制造的一种选择是长纤维热塑性直接(LFT-D)制造工艺。根据这项技术,零件可以由单独的基体和纤维部件生产出来。这种方法消除了从材料供应商那里购买玻璃垫热塑性塑料(GMT)等半成品的需要,从而为复合材料部件制造商节省了成本[5]。与许多其他热成形工艺一样,通过LFT-D制造的零件可能会产生大量变形。翘曲会使零件难以整合到下游组件中。然而,尽管这个问题的重要性,在调查文献中提出的翘曲的定量表征是相对简单的。虽然目前还没有明确的零件翘曲度量,但先前的研究强调,通过改变成型加工参数可以减少零件翘曲[3],[4],[6],[10],[11]。对于许多此类研究,零件翘曲通常由标称零件和制造零件之间的最大偏差来评估。尽管如此,虽然两个形状之间偏差的最大值确实很重要,但翘曲可以通过许多其他方式定义。另一种选择是评估零件的特定区域,特别是那些涉及后续组装操作的区域。沿着这些路线,目前的研究旨在提出能够评估零件翘曲的替代指标。
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引用次数: 1
Slice Interpolation for Medical Image based on Spatial Geometry Polynomial Fitting 基于空间几何多项式拟合的医学图像切片插值
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.134-138
Hui Liu, Yuxiu Lin, L. Shanshan, Caiming Zhang
Introduction: Medical imaging technologies are essential to disease diagnosis and surgery planning, such as computational tomography (CT), which expresses the acquired tomographic medical image data as a set of slice sequences. In order to decrease the radiation amount received by the patients, it is a common practice to reduce the sampling rate and improve the scanning speed, which resulting in the loss of some valuable temporal information and remarkably large slice interval. Therefore, most medical imaging volumes are taken anisotropically with a high intra-slice resolution and a low inter-slice resolution. This phenomenon leads to problems such as rough or even broken tissue boundaries in 3D reconstructed models, which will undoubtedly a ect the accuracy of lesion analysis result. As such, an accurate and reliable method to upsample the low inter-slice resolution, which we refer to as the medical image slice interpolation techniques, is much needed in research. In addition to generating accurate 3D reconstructions, medical slice interpolation can also be widely used in medical image segmentation, multi-frame super-resolution (MFSR) reconstruction , and other elds. By adding new virtual slices between every two consecutive images, as shown in Fig. 1, the number and information of experimental data sets are increased, in order to boost MFSR and medical image segmentation accuracy. Especially, increasing the amount of training samples is indispensable for the popular research method such as neural network. Therefore, it is necessary to improve the inter-slice interpolation techniques to increase the axial spatial resolution of the data acquired using medical imaging modalities. Image interpolation technology has been wide-spread used in various area of image processing, especially in the eld of medical image processing. The methods for this task can be categorized into four groups. (1) Grayscale-based interpolation methods [12, 13] directly use the grayscale information of two consecutive images, to interpolate the inter-layer images through a set of basis functions. Nearest neighbor interpolation [2] , linear interpolation [1] and cubic B spline interpolation [11] are the common types of such interpolation methods. This method is widely used in image interpolation because of its computational simplicity and less computationally expensive. However, the interpolated images obtained by these methods are usually too smooth and contain the artifacts. (2) The shape-based interpolation methods [3, 7] generate contours of the image to be interpolated directly based on the contour shapes of two consecutive images. Compared with the grayscale-based interpolation methods, it can e ectively
医学成像技术对于疾病诊断和手术计划至关重要,例如计算机断层扫描(CT),它将获得的断层医学图像数据表达为一组切片序列。为了减少患者接受的辐射量,通常采用降低采样率和提高扫描速度的方法,这导致一些有价值的时间信息丢失,切片间隔非常大。因此,大多数医学成像体积都是各向异性的,具有高的片内分辨率和低的片间分辨率。这种现象导致三维重建模型出现组织边界粗糙甚至断裂等问题,无疑会影响病变分析结果的准确性。因此,迫切需要一种准确可靠的方法来对低片间分辨率的图像进行上采样,我们称之为医学图像片插值技术。除了生成精确的三维重建外,医学切片插值还可广泛应用于医学图像分割、多帧超分辨率(MFSR)重建等领域。通过在每两个连续图像之间添加新的虚拟切片,如图1所示,增加实验数据集的数量和信息量,以提高MFSR和医学图像分割精度。特别是对于神经网络等流行的研究方法来说,增加训练样本的数量是必不可少的。因此,有必要改进切片间插值技术,以提高医学成像模式获取的数据的轴向空间分辨率。图像插值技术已广泛应用于图像处理的各个领域,尤其是医学图像处理领域。此任务的方法可分为四组。(1)基于灰度的插值方法[12,13]直接利用两幅连续图像的灰度信息,通过一组基函数对层间图像进行插值。最近邻插值[2]、线性插值[1]和三次B样条插值[11]是这类插值方法的常见类型。该方法计算简单,计算成本低,在图像插值中得到广泛应用。然而,这些方法得到的插值图像通常过于平滑,并且含有伪影。(2)基于形状的插值方法[3,7]直接根据两幅连续图像的轮廓形状生成待插值图像的轮廓。与基于灰度的插值方法相比,该方法能有效地实现图像的插值
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引用次数: 0
Trajectory Planning of Rehabilitation Exercises using an Integrated Reward Function in Reinforcement Learning 基于综合奖励函数的强化学习康复训练轨迹规划
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.187-191
Yanlin Shi, Q. Peng, Jian Zhang
Introduction: Rehabilitation devices help patients to recover injured body parts such as elbow and knee joints [3]. Trajectory planning of rehabilitation exercises determines a suitable moving path to guide patients in daily recovery activities for body parts based on injured levels and joints [4]. It is expected that the rehabilitation process is smooth and comfortable. The existing trajectory planning are mainly manual methods that require physicians to plan the rehabilitation exercise trajectory [7], which is inefficient and inaccurate [1]. Reinforcement learning (RL) uses intelligent agents to plan actions in environments for maximum rewards [5]. Using RL, a rehabilitation device can autonomously learn and plan a trajectory for required exercise actions in different conditions. Based on the range of rotation angles and movement speed required in the rehabilitation of patients, a reward function can generate the optimal trajectory for patients to approach the target position in rehabilitation exercises efficiently and accurately [6]. An integrated reward function is proposed in this paper to plan the trajectory of rehabilitation exercises. Based on injured joints of a patient recorded by motion sensors, the range of rotation angles and movement speeds are restricted and planed for the patient using RL. The rotation angles and movement speeds are reset for injured joints based on the daily progress of the patient recovery to improve performance of the rehabilitation.
康复器械帮助患者恢复受伤的身体部位,如肘关节、膝关节等[3]。康复运动的运动轨迹规划是根据受伤的部位和关节,确定适合患者的运动路径,指导患者进行日常身体部位的康复活动[4]。预计康复过程是顺利和舒适的。现有的运动轨迹规划主要是手工方法,需要医生规划康复运动轨迹[7],效率低且不准确[1]。强化学习(RL)使用智能代理在环境中规划行动以获得最大回报[5]。使用强化学习,康复设备可以自主学习并计划在不同条件下所需的运动动作轨迹。基于患者康复所需的旋转角度范围和运动速度,奖励函数可以生成患者在康复运动中高效准确接近目标位置的最优轨迹[6]。本文提出了一个综合奖励函数来规划康复训练的轨迹。根据运动传感器记录的患者受伤关节,限制和规划使用RL的患者的旋转角度和运动速度范围。根据患者日常康复的进展情况,复位受伤关节的旋转角度和运动速度,提高康复效果。
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引用次数: 0
Modeling Coverage Areas of Anisotropic Transmitters by Voronoi-like Structures 用类voronoi结构模拟各向异性发射机覆盖区域
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.283-287
M. Held, Peter Palfrader
Introduction: Consider a set S of points in the plane, called sites, and a signal that is sent out from each site. Now assume that each signal starts at the same time, say time t := 0, and propagates with unit speed uniformly in all directions. The locations at time t ≥ 0 that are reached by a signal sent out from a site s ∈ S is given by a circle ( o set circle ) of radius t centered at s, and the area that has been covered by that signal by time t is the corresponding circular disc. For t su ciently small, no pair of these discs will intersect. However, as t increases, intersections will occur. Apparently, intersections of two such circles correspond to points of the plane that are reached by two di erent signals at the same time. Assigning each locus of the plane to the site whose signal reached it rst yields a partition of the plane that is well-known as the Voronoi diagram of S; cf. Fig. 1(a). Adjacent regions of this partition are separated by straight-line segments. (We refer to the textbook [11] for more background information on Voronoi diagrams.) The boundary of the area covered by at least one signal by time t is called the wavefront of S at time t. It is easy to see that every wavefront of S consists of circular arcs whose endpoints lie on the Voronoi diagram of S. Voronoi diagrams can be generalized to settings where the signals no longer all travel at the same speed. To each site s a weight σ(s) is assigned that speci es how fast the signal travels: In this modi ed setting, the signal has reached points at distance σ(s) · t (from s) at time t. The corresponding Voronoi diagram is known asmultiplicatively weighted Voronoi diagram [5]. The common boundary of two adjacent regions is no longer a line segment but is a circular arc. Also, the region associated with a speci c site s can now be disconnected or multiply-connected; cf. Fig. 1(b). In a similar way, one can generalize the Voronoi diagram by allowing the sites to start emitting their signals at di erent points in time. This leads to the concept of additively weighted Voronoi diagrams. Voronoi diagrams have become an important geometric tool for modeling and analyzing coverage areas of sensors and transmitters. We refer to [4, 10, 12] for sample publications on this application. Common to these publications is the fact that the signal propagation is assumed to be uniform both over all sites and over all directions for each site.
假设平面上有S个点,称为站点,每个站点发出一个信号。现在假设每个信号在同一时间开始,假设时间t:= 0,并以单位速度向各个方向均匀传播。从站点s∈s发出的信号在t≥0时刻到达的位置用圆心为s的半径为t的圆(0集圆)表示,该信号在t时刻覆盖的面积为对应的圆盘。对于足够小的,没有一对圆盘会相交。。然而,随着t的增加,将会出现交集。显然,两个这样的圆的交点对应于平面上两个不同信号同时到达的点。将平面上的每个轨迹分配给信号最先到达的位置,会得到一个平面的分割,这就是著名的S的Voronoi图;参见图1(a)。该分区的相邻区域由直线段隔开。(有关Voronoi图的更多背景信息,请参阅教科书[11]。)在时间t至少有一个信号覆盖的区域的边界称为S在时间t的波前。很容易看出,S的每个波前都由圆弧组成,圆弧的端点位于S的Voronoi图上。Voronoi图可以推广到信号不再以相同的速度传播的情况。对于每个站点s,分配一个权重σ(s)来指定信号传播的速度:在这个修改后的设置中,信号在时间t到达距离σ(s)·t(从s)的点。相应的Voronoi图被称为乘加权Voronoi图[5]。两个相邻区域的共同边界不再是线段,而是圆弧。此外,与特定站点s相关联的区域现在可以断开连接或多重连接;参见图1(b)。以类似的方式,可以通过允许站点在不同的时间点开始发射信号来推广Voronoi图。这就引出了相加加权Voronoi图的概念。Voronoi图已经成为建模和分析传感器和发射机覆盖区域的重要几何工具。我们参考[4,10,12]来获取关于该应用程序的示例出版物。这些出版物的共同点是假设信号传播在所有站点和每个站点的所有方向上都是均匀的。
{"title":"Modeling Coverage Areas of Anisotropic Transmitters by Voronoi-like Structures","authors":"M. Held, Peter Palfrader","doi":"10.14733/CADCONFP.2021.283-287","DOIUrl":"https://doi.org/10.14733/CADCONFP.2021.283-287","url":null,"abstract":"Introduction: Consider a set S of points in the plane, called sites, and a signal that is sent out from each site. Now assume that each signal starts at the same time, say time t := 0, and propagates with unit speed uniformly in all directions. The locations at time t ≥ 0 that are reached by a signal sent out from a site s ∈ S is given by a circle ( o set circle ) of radius t centered at s, and the area that has been covered by that signal by time t is the corresponding circular disc. For t su ciently small, no pair of these discs will intersect. However, as t increases, intersections will occur. Apparently, intersections of two such circles correspond to points of the plane that are reached by two di erent signals at the same time. Assigning each locus of the plane to the site whose signal reached it rst yields a partition of the plane that is well-known as the Voronoi diagram of S; cf. Fig. 1(a). Adjacent regions of this partition are separated by straight-line segments. (We refer to the textbook [11] for more background information on Voronoi diagrams.) The boundary of the area covered by at least one signal by time t is called the wavefront of S at time t. It is easy to see that every wavefront of S consists of circular arcs whose endpoints lie on the Voronoi diagram of S. Voronoi diagrams can be generalized to settings where the signals no longer all travel at the same speed. To each site s a weight σ(s) is assigned that speci es how fast the signal travels: In this modi ed setting, the signal has reached points at distance σ(s) · t (from s) at time t. The corresponding Voronoi diagram is known asmultiplicatively weighted Voronoi diagram [5]. The common boundary of two adjacent regions is no longer a line segment but is a circular arc. Also, the region associated with a speci c site s can now be disconnected or multiply-connected; cf. Fig. 1(b). In a similar way, one can generalize the Voronoi diagram by allowing the sites to start emitting their signals at di erent points in time. This leads to the concept of additively weighted Voronoi diagrams. Voronoi diagrams have become an important geometric tool for modeling and analyzing coverage areas of sensors and transmitters. We refer to [4, 10, 12] for sample publications on this application. Common to these publications is the fact that the signal propagation is assumed to be uniform both over all sites and over all directions for each site.","PeriodicalId":166025,"journal":{"name":"CAD'21 Proceedings","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114783131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Leveraging Advanced Design and Novel Rapid Manufacturing Solutions to Respond to the COVID19 Pandemic 利用先进设计和新型快速制造解决方案应对covid - 19大流行
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.231-235
A. Pasha, J. Urbanic, Bob Hedrick, Hamoon Ramezani, O. Jianu
The novel Coronavirus can easily be transmitted from one person to another via respiratory droplets or direct contact with infected surfaces. Human beings have several common and shared objects that they touch daily. Door handles are among the most commonly touched surfaces. In this work, novel manufacturing solutions are developed for several hands-free door handles that were designed to reduce the COVID-19 disease vectors. In tandem with the design optimization activities, a rapid and low-cost tooling solution was developed leveraging additive manufacturing, ‘design for additive manufacturing’, and conventional design for assembly strategies. This rapid tooling approach is capable of molding high temperature thermoplastics as well as of introducing highly complex internal channels that can aid the cooling performance of the mold and component. For the case study, the mold is built in less than one week. The part geometry varied between 1 – 3% from the CAD model. The production time for a part is reduced from 3 hours to less than 2 minutes per piece. The material price per piece was significantly dropped. This solution introduces new design and manufacturing options to the engineering community. The case study highlights the merit of these approaches. © 2022 CAD Solutions, LLC.
新型冠状病毒很容易通过呼吸道飞沫或直接接触感染表面从一个人传播到另一个人。人类每天都有一些共同接触的物品。门把手是最常接触的表面之一。在这项工作中,为几种旨在减少COVID-19病媒的免提门把手开发了新的制造解决方案。与设计优化活动相结合,利用增材制造、“增材制造设计”和传统的装配策略设计,开发了一种快速、低成本的工具解决方案。这种快速的模具方法能够成型高温热塑性塑料,以及引入高度复杂的内部通道,可以帮助模具和组件的冷却性能。对于案例研究,模具在不到一周的时间内完成。零件几何形状与CAD模型的差异在1 - 3%之间。每个零件的生产时间从3小时减少到不到2分钟。每件材料的价格大幅下降。该解决方案为工程界引入了新的设计和制造选择。案例研究突出了这些方法的优点。©2022 CAD Solutions, LLC
{"title":"Leveraging Advanced Design and Novel Rapid Manufacturing Solutions to Respond to the COVID19 Pandemic","authors":"A. Pasha, J. Urbanic, Bob Hedrick, Hamoon Ramezani, O. Jianu","doi":"10.14733/CADCONFP.2021.231-235","DOIUrl":"https://doi.org/10.14733/CADCONFP.2021.231-235","url":null,"abstract":"The novel Coronavirus can easily be transmitted from one person to another via respiratory droplets or direct contact with infected surfaces. Human beings have several common and shared objects that they touch daily. Door handles are among the most commonly touched surfaces. In this work, novel manufacturing solutions are developed for several hands-free door handles that were designed to reduce the COVID-19 disease vectors. In tandem with the design optimization activities, a rapid and low-cost tooling solution was developed leveraging additive manufacturing, ‘design for additive manufacturing’, and conventional design for assembly strategies. This rapid tooling approach is capable of molding high temperature thermoplastics as well as of introducing highly complex internal channels that can aid the cooling performance of the mold and component. For the case study, the mold is built in less than one week. The part geometry varied between 1 – 3% from the CAD model. The production time for a part is reduced from 3 hours to less than 2 minutes per piece. The material price per piece was significantly dropped. This solution introduces new design and manufacturing options to the engineering community. The case study highlights the merit of these approaches. © 2022 CAD Solutions, LLC.","PeriodicalId":166025,"journal":{"name":"CAD'21 Proceedings","volume":"54 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123708825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A computer-aided Approach for Acquisition and Importance Ranking of Customer Requirements from the Online Comment Mining 基于在线评论挖掘的客户需求获取与重要性排序的计算机辅助方法
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.267-271
Li Xiangdong, He Youlong, Q. Peng, Liu Wei
{"title":"A computer-aided Approach for Acquisition and Importance Ranking of Customer Requirements from the Online Comment Mining","authors":"Li Xiangdong, He Youlong, Q. Peng, Liu Wei","doi":"10.14733/CADCONFP.2021.267-271","DOIUrl":"https://doi.org/10.14733/CADCONFP.2021.267-271","url":null,"abstract":"","PeriodicalId":166025,"journal":{"name":"CAD'21 Proceedings","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121323098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Fitting Single Crease Curved-Fold Model to the User Specified Points 拟合单折痕曲线-折叠模型到用户指定的点
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.144-148
Yuka Watanabe, J. Mitani
{"title":"Fitting Single Crease Curved-Fold Model to the User Specified Points","authors":"Yuka Watanabe, J. Mitani","doi":"10.14733/CADCONFP.2021.144-148","DOIUrl":"https://doi.org/10.14733/CADCONFP.2021.144-148","url":null,"abstract":"","PeriodicalId":166025,"journal":{"name":"CAD'21 Proceedings","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123121569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
L0-Regularization based Material Design for Hexahedral Mesh Models 基于l0 -正则化的六面体网格模型材料设计
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.314-318
Haoxiang Li, J. Zheng
{"title":"L0-Regularization based Material Design for Hexahedral Mesh Models","authors":"Haoxiang Li, J. Zheng","doi":"10.14733/CADCONFP.2021.314-318","DOIUrl":"https://doi.org/10.14733/CADCONFP.2021.314-318","url":null,"abstract":"","PeriodicalId":166025,"journal":{"name":"CAD'21 Proceedings","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124998906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Intrinsically Defined Planar Curves based on Explicit B-spline Curvature Functions 基于显式b样条曲率函数的内定义平面曲线
Pub Date : 2021-05-12 DOI: 10.14733/CADAPS.2022.152-163
N. Yoshida, Takafumi Saito
{"title":"Intrinsically Defined Planar Curves based on Explicit B-spline Curvature Functions","authors":"N. Yoshida, Takafumi Saito","doi":"10.14733/CADAPS.2022.152-163","DOIUrl":"https://doi.org/10.14733/CADAPS.2022.152-163","url":null,"abstract":"","PeriodicalId":166025,"journal":{"name":"CAD'21 Proceedings","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126223724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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CAD'21 Proceedings
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