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curve interpolation model for visualising disjointed neural elements

Neural Regeneration Research 2012年第21期7卷 1637-1644页

作者： Mohd Shafry Mohd Rahim Norhasana Razzali Mohd Shahrizal Sunar Ayman Abdualaziz Abdullah Amjad Rehman UTMViCubeLab Department of Computer Graphics and Multimedia FSKSM University of Technology College of Applied Studies and Community Service King Saud University

Neuron cell are built from a myriad of axon and denddte structures. It transmits electrochemical signals between the brain and the nervous system. Three-dimensional visualization of neuron structure could help to facilitate deeper understanding of neuron and its models. An accurate neuron model could aid understanding of brain＇s functionalities, diagnosis and knowledge of entire nervous system. Existing neuron models have been found to be defective in the aspect of realism. Whereas in the actual biological neuron, there is continuous growth as the soma extending to the axon and the dendrite; but, the current neuron visualization models present it as disjointed segments that has greatly mediated effective realism. In this research, a new reconstruction model comprising of the Bounding Cylinder, curve interpolation and Gouraud Shading is proposed to visualize neuron model in order to improve realism. The reconstructed model is used to design algorithms for generating neuron branching from neuron SWC data. The Bounding Cylinder and curve interpolation methods are used to improve the connected segments of the neuron model using a series of cascaded cylinders along the neuron＇s connection path. Three control points are proposed between two adjacent neuron segments. Finally, the model is rendered with Gouraud Shading for smoothening of the model surface. This produce a near-perfection model of the natural neurons with attended realism. The model is validated by a group of bioinformatics analysts＇ responses to a predefined survey. The result shows about 82% acceptance and satisfaction rate.

关键词： bounding cylinder curve interpolation reconstruction model Gouraud shading neuralregeneration

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curve interpolation based on Catmull-Clark subdivision scheme

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Progress in Natural Science:Materials International 2003年第2期 64-70页

作者： ZHANG Jingqiao and WANG Guojin(State Key Laboratory of CAD&CG, Institute of Computer Images and Graphics, Zhejiang University, Hangzhou 310027, China)

Abstract An efficient algorithm for curve interpolation is proposed. The algorithm can produce a subdivision surface that can in-terpolate the predefined cubic B-spline curves by applying the Catmull-Clark scheme to a polygonal mesh containing "symmetric zonalmeshes", which possesses some special properties. Many kinds of curve interpolation problems can be dealt with by this algorithm, such asinterpolating single open curve or closed curve, a mesh of nonintersecting or intersecting curve. The interpolating surface is C~2 everywhereexcepting at a finite number of points. At the same time, sharp creases can also be modeled on the limit subdivision surface by duplicatingthe vertices of the tagged edges of initial mesh, i. e. the surface is only C~0 along the cubic B-spline curve that is defined by the taggededges. Because of being simple and easy to implement, this method can be used for product shape design and graphic software develop-ment.

关键词： curve interpolation B-spline subdivision scheme.

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Neural Network Methods for NURBS curve and Surface interpolation

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Journal of Computer Science & Technology 1997年第1期12卷 76-89页

作者：秦开怀 Department of Computer Science & Technology Tsinghua University Beijing

New algorithms based on artificial neural network models are presented for cubic NURBS cuxve and surface interpolation. When all the knot spans are identical, the NURBS curve interpolation procedtire degenerates into that of uniform rational B-spline curves. If all the weights of data points are identical,then the NURBS curve interpolation procedure degenerates into the integral B-spline curve interpolation.

关键词： Neural network NURBS curve interpolation surface interpolation

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Integration of a 5-axis Spline interpolation Controller in an Open CNC System

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Chinese Journal of Aeronautics 2009年第2期22卷 218-224页

作者：王永章刘源韩振宇邵忠喜哈尔滨工业大学机电工程学院哈尔滨150001

A 5-axis controller with curve interpolation function is developed to satisfy high-speed and high-precision computer numerical control (CNC) machining of machine parts with complex shapes in the authors-devised open CNC system. The instruction for- mat of this interpolation method and the generation procedure of the numerical control (NC) files are introduced. The interpola- tion curves of both position vectors and orientation vectors constructed by the controller are C2 continuous and independent of machin...

关键词： numerical control systems sculptured surfaces 5-axis machining motion control curve interpolation

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