Fundamentals of digital image processing
Fundamentals of digital image processing
The NURBS book (2nd ed.)
VRML '00 Proceedings of the fifth symposium on Virtual reality modeling language (Web3D-VRML)
Progressive geometry compression
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
NURBS: From Projective Geometry to Practical Use
NURBS: From Projective Geometry to Practical Use
Applied Geometry for Computer Graphics
Applied Geometry for Computer Graphics
JPEG Still Image Data Compression Standard
JPEG Still Image Data Compression Standard
IEEE Transactions on Visualization and Computer Graphics
IEEE Computer Graphics and Applications
The JPEG2000 still image coding system: an overview
IEEE Transactions on Consumer Electronics
Geometry compression of 3-D mesh models using predictive two-stage quantization
IEEE Transactions on Circuits and Systems for Video Technology
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With the advancement of computer graphics in the recent years, an increasing number of pictures, video and 3D content is generated by synthesis processing rather than acquired with capture devices such as cameras or scanners. Several techniques have been developed for compression of discrete (i.e. piece-wise planar) 3D models, in the form of 3D polygonal meshes. However, no important attempt has been made to compress the smooth surfaces of artificially generated 3D models, that are most often represented as parametric surfaces, of which Non-Uniform Rational B-Spline (NURBS) is a popular form. This paper presents a method for compressing NURBS 3D models with a small and controllable loss. The scheme uses a differential pulse coded modulation coder with different predictors for knot values and control points, coupled with a uniform scalar quantizer, followed by a bitplane arithmetic entropy coder. The multiplicity of knots is preserved by the use of a multiplicity map. The rate-distortion characteristics of the proposed scheme are evaluated on various models. When compared to MPEG-4 (ISO/IEC 14496-2:1999: information technology--coding of andio-visual objects--Part 2: Visual, December 1999; ISO/IEC 14496-2:1999/Amd 1:2000: visual extensions, August 2000) and Touma-Gotsman (Proceedings of the 24th Conference on Graphics Interface (GI-98), Morgan Kaufmann, Los Altos, CA, San Francisco, CA, June 1998, pp. 26-34) compressed triangular meshes, the proposed scheme achieves more than five times better compression, for equivalent L2 error and much better visual quality.