Optimization—an emerging tool in computer graphics

J. Marks, Michael F. Cohen, J. Ngo, S. Shieber, John M. Snyder
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引用次数: 1

Abstract

practitioner in computer graphics was a solid background in geometry, algebra, calculus, topology, probability, mechanics, electromagnetism, signal processing, image processing, electrical engineering, mechanical engineering, optics, information theory, structured programming, basic algorithms and data structures, complexity theory, computer architecture, human factors, perceptual psychology, colorimetry, graphic design, industrial design, semiotics, and art! Unfortunately, the list is growing, and one more topic can now be included: optimization. A perusal of the computer-graphics literature reveals a recent trend towards using optimization to solve problems in image rendering, object modeling, animation, and even chart graphics. The techniques used run the gamut from standard function-optimization algorithms that have their roots in continuous mathematics [10], to black-art stochastic techniques that are inspired by natural processes like evolution and annealing [2]. The participants in the panel reflect this diversity in problem domain and optimization approach. Each panelist will list problems in his areas of expertise for which optimization techniques have proven effective, describe the optimization methods that have been most successful for these problems, present a representative example from the panelist’s own research of an optimization problem and method, attempt to predict the future impact of optimization on computer graphics, and suggest how engineers and artists might apply optimization techniques to practical problems.
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优化——计算机图形学中的一个新兴工具
计算机图形学的实践者在几何、代数、微积分、拓扑学、概率论、力学、电磁学、信号处理、图像处理、电气工程、机械工程、光学、信息论、结构化编程、基本算法和数据结构、复杂性理论、计算机体系结构、人为因素、感知心理学、比色学、平面设计、工业设计、符号学和艺术方面都有扎实的背景!不幸的是,这个列表还在增长,现在又多了一个主题:优化。仔细阅读计算机图形学文献,就会发现最近有一种趋势,即使用优化来解决图像渲染、对象建模、动画甚至图表图形中的问题。所使用的技术涵盖了从植根于连续数学的标准函数优化算法[10]到受进化和退火等自然过程启发的黑魔法随机技术[2]。小组的参与者反映了问题领域和优化方法的多样性。每个小组成员将列出在他的专业领域中优化技术已被证明有效的问题,描述对这些问题最成功的优化方法,从小组成员自己的优化问题和方法的研究中提出一个代表性的例子,试图预测优化对计算机图形学的未来影响,并建议工程师和艺术家如何将优化技术应用于实际问题。
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