Parameter Reduction and Automatic Generation of Active Shape Models

Liersch, David; Sovakar, Abhijit; Kobbelt, Leif

doi:10.1007/978-3-642-18993-7_34

Cited by 2 publications

(2 citation statements)

References 3 publications

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“…Approaches of different categories were proposed over the past decade. These include local fitting approaches [10-12, 25-27, 29, 38], active surface approaches [4,6,7,18,20,24,28,34,40,41,43,44], implicit surface approaches [1,2,30,39] and other approaches [13,14,16,17,21].…”

Section: Related Workmentioning

confidence: 99%

Fitting subdivision surfaces to unorganized point data using SDM

Cheng

Wang

Qin

et al.

12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings.

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We study the reconstruction of smooth surfaces from point clouds. We use a new squared distance error term in optimization to fit a subdivision surface to a set of unorganized points, which defines a closed target surface of arbitrary topology. The resulting method is based on the framework of squared distance minimization (SDM) proposed by Pottmann et al. Specifically, with an initial subdivision surface having a coarse control mesh as input, we adjust the control points by optimizing an objective function through iterative minimization of a quadratic approximant of the squared distance function of the target shape. Our experiments show that the new method (SDM) converges much faster than the commonly used optimization method using the point distance error function, which is known to have only linear convergence. This observation is further supported by our recent result that SDM can be derived from the Newton method with necessary modifications to make the Hessian positive definite and the fact that the Newton method has quadratic convergence.

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Section: Related Workmentioning

confidence: 99%

Fitting subdivision surfaces to unorganized point data using SDM

Cheng

Wang

Qin

et al.

12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings.

View full text Add to dashboard Cite

show abstract

“…Approaches of different categories were proposed over the past decade. These include local fitting approaches [4][5][6][7][8][9][10][11], active surface approaches [12][13][14][15][16][17][18][19][20][21][22][23], implicit surface approaches [24][25][26][27] and other approaches [28][29][30][31][32].…”

Section: Related Workmentioning

confidence: 99%

Fitting subdivision surfaces to unorganized points

Cheng¹,

鄭健城.²

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I would like to sincerely thank my supervisor and other colleagues in my research group who helped me a lot throughout my study in these years. I would also like to express my gratitude to all the teachers and tutor partners whom I cooperated during my teaching assistance duties. Last but not least, I would like to express my thanks wholeheartedly to my family members and friends who are willing to share my feelings during these few memorable years. Without their love and support, the completion of this work would not have been possible.

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Parameter Reduction and Automatic Generation of Active Shape Models

Cited by 2 publications

References 3 publications

Fitting subdivision surfaces to unorganized point data using SDM

Fitting subdivision surfaces to unorganized point data using SDM

Fitting subdivision surfaces to unorganized points

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