Offsetting and blending with perturbation functions

Free forms synthesized by means of the perturbation functions are proposed. the problem of mapping a two-dimensional texture array to curved surfaces defined by perturbation functions is considered. surface patterns are created by interactions between texture and surface. the synthesis a 2d and 3d texture array onto curvilinear surfaces is solved. For shape creating, we propose a set of algorithms and software based on function-defined surfaces that perform an interactive rate and enable intuitive operations.

[1]  Waldemar Wójcik,et al.  Using lights in a volume-oriented rendering , 2017, Symposium on Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments (WILGA).

[2]  Waldemar Wójcik,et al.  Bio-inspired approach to multistage image processing , 2017, Symposium on Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments (WILGA).

[3]  Jules Bloomenthal,et al.  Modeling the mighty maple , 1985, SIGGRAPH.

[4]  Richard K. Beatson,et al.  Reconstruction and representation of 3D objects with radial basis functions , 2001, SIGGRAPH.

[5]  S. V. Pavlov,et al.  New method to control color intensity for antialiasing , 2015, 2015 International Siberian Conference on Control and Communications (SIBCON).

[6]  Geoff Wyvill,et al.  Smoothing of three dimensional models by convolution , 1996, Proceedings of CG International '96.

[7]  Marc Levoy,et al.  3D painting on scanned surfaces , 1995, I3D '95.

[8]  Alexei Sourin,et al.  Functionally based virtual computer art , 2001, I3D '01.

[9]  Waldemar Wójcik,et al.  Offsetting, relations, and blending with perturbation functions , 2017, Symposium on Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments (WILGA).

[10]  Geoff Wyvill,et al.  Data structure forsoft objects , 1986, The Visual Computer.

[11]  G. Gallo.  Virtual Sculpture , 1999 .

[12]  Andrei Sherstyuk.  Fast Ray Tracing of Implicit Surfaces , 1999, Comput. Graph. Forum.

[13]  S. I. Vyatkin,et al.  Complex surface modeling using perturbation functions , 2007 .

[14]  Ronald N. Perry,et al.  Kizamu: a system for sculpting digital characters , 2001, SIGGRAPH.

[15]  Robert M. Lewitt,et al.  Practical considerations for 3-D image reconstruction using spherically symmetric volume elements , 1996, IEEE Trans. Medical Imaging.

[16]  NetworkAdrian G. Bor.  Object Classification in 3-D Images Using Alpha-Trimmed Mean Radial Basis Function Network , 2007 .

[17]  Darwyn R. Peachey,et al.  Solid texturing of complex surfaces , 1985, SIGGRAPH.

[18]  I. Krak,et al.  Interactive systems for sign language learning , 2012, 2012 6th International Conference on Application of Information and Communication Technologies (AICT).

[19]  Jules Bloomenthal,et al.  Convolution surfaces , 1991, SIGGRAPH.

[20]  Alexei Sourin,et al.  Interactive function-based shape modeling for cyberworlds , 2004, 2004 International Conference on Cyberworlds.

[21]  S. V. Pavlov,et al.  Method of anti-aliasing with the use of the new pixel model , 2015, Optical Fibers and Their Applications.

[22]  Arie E. Kaufman,et al.  Volume sculpting , 1995, I3D '95.

[23]  Jon McCormack,et al.  Creating and Rendering Convolution Surfaces , 1998, Comput. Graph. Forum.

[24]  Laurent Babout,et al.  OPTIMIZATION OF 3D LOCAL ORIENTATION MAP CALCULATION IN THE MATLAB FRAMEWORK , 2015 .

[25]  Frédo Durand,et al.  A gentle introduction to bilateral filtering and its applications , 2007, SIGGRAPH Courses.

[26]  Iu. V. Krak,et al.  Applied aspects of the synthesis and analysis of voice information , 2013 .

[27]  J. Andreas Bærentzen,et al.  Octree–based Volume Sculpting , 1998 .

[28]  Yuriy V. Krak,et al.  Human Hand Motion Parametrization for Dactilemes Modeling , 2011 .

[29]  Alexei Sourin.  Functionally based virtual embossing , 2001, The Visual Computer.

[30]  Alexei Sourin,et al.  Interactive function-based artistic shape modeling , 2002, First International Symposium on Cyber Worlds, 2002. Proceedings..

[31]  Erkan Tanyildizi,et al.  A hybrid color texture image classification method based on 2D and semi 3D texture features and extreme learning machine , 2012 .

[32]  Sergey I. Vyatkin,et al.  An Interactive System for Modeling, Animating and Rendering of Functionally Defined Objects , 2014 .

[33]  Waldemar Wójcik,et al.  Fast ray casting of function-based surfaces , 2017 .