Optimized surface parameterizations with applications to Chinese virtual broadcasting

Mei-Heng  Yueh; Hsiao-Han  Huang; Tiexiang  Li; Wen-Wei  Lin; Shing-Tung  Yau

doi:doi:10.1553/etna_vol53s383

Ronny Ramlau, Lothar Reichel (Hg.)

ETNA - Electronic Transactions on Numerical Analysis

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Optimized surface parameterizations with applications to Chinese virtual broadcasting

Mei-Heng Yueh,

Hsiao-Han Huang,

Tiexiang Li,

Wen-Wei Lin,

Shing-Tung Yau

ETNA - Electronic Transactions on Numerical Analysis, pp. 383-405, 2020/05/20

doi: 10.1553/etna_vol53s383

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doi:10.1553/etna_vol53s383

Abstract

Surface parameterizations have been widely applied in computer-aided design for the geometric processing tasks of surface registration, remeshing, texture mapping, and so on. In this paper, we present an efficient balanced energy minimization algorithm for the computation of simply connected open surface parameterizations with balanced angle and area distortions. The existence of a nontrivial accumulation function of the proposed algorithm is guaranteed under some mild conditions, and the limiting function is shown to be one-to-one. Comparisons of the proposed algorithm with angle- and area-preserving parameterizations show that the angular distortion is close to that of an angle-preserving parameterization while the area distortion is significantly improved. An application of the proposed algorithm involving surface remeshing, registration, and morphing to the Chinese virtual broadcasting technique is demonstrated.

Keywords: surface parameterization, simply connected open surface, balanced energy minimization, virtual broadcasting

ETNA

Published Online: 2020/05/20 13:24:28

Object Identifier: 0xc1aa5572 0x003b85a2

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Ronny Ramlau, Lothar Reichel (Hg.)

ETNA - Electronic Transactions on Numerical Analysis

Optimized surface parameterizations with applications to Chinese virtual broadcasting

Abstract