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Realtime curve interpolators

M. Shpitalni, Y. Koren, C.C. Lo
1994 Computer-Aided Design  
Accordingly, the paper presents two realtime interpolation algorithms and compares them with existing CAD interpolators.  ...  This is the motivation for the development of new curve interpolation algorithms for CNC.  ...  machine then interpolates it using the realtime curve interpolator.  ... 
doi:10.1016/0010-4485(94)90097-3 fatcat:ljuxvvzvp5fideux2c5j6cay64

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

Yongzhang Wang, Yuan Liu, Zhenyu Han, Zhongxi Shao
2009 Chinese Journal of Aeronautics  
The position curve is to be discretized in realtime using a truncated Taylor series expansion.  ...  The interpolation curves of both position vectors and orientation vectors constructed by the controller are C 2 continuous and independent of machine tool kinematics.  ...  Realtime Interpolator and Kinematics Transformation Realtime interpolation operation The task of realtime interpolation is to calculate the parameter (k + 1) in the next interpolation period based on  ... 
doi:10.1016/s1000-9361(08)60090-4 fatcat:dovxbq2msnfv3i4vnmfkwmeabq

AGRELs and BIPs: Metamorphosis as a Bezier curve in the space of polyhedra

Jarek Rossignac, Anil Kaul
1994 Computer graphics forum (Print)  
The new Bezier Interpolating Polyhedron (BIP) provides a graphics representation of such a deforming object formulated mathematically as a point describing a Bezier curve in the space of all polyhedra.  ...  We present a new technique for interactively editing such deformations and for animating them in realtime.  ...  . / Metamorphosis as a Bezier Curve  ... 
doi:10.1111/1467-8659.1330179 fatcat:ze3zyn6t5jfudiddiasms75oom

Phong Tessellation

Tamy Boubekeur, Marc Alexa
2008 ACM Transactions on Graphics  
Our technique is a geometric version of Phong normal interpolation, not applied on normals but on the vertex positions. We call this strategy Phong Tessellation.  ...  Instead of interpolating normals as in Phong Shading, we interpolate projection onto vertices tangent plane to define a curve geometry for each triangle.  ...  form curved silhouettes and contours (see Fig. 6 ).  ... 
doi:10.1145/1409060.1409094 fatcat:j5h7lzpjmrh7zacerw6v4gbtrq

Phong Tessellation

Tamy Boubekeur, Marc Alexa
2008 ACM SIGGRAPH Asia 2008 papers on - SIGGRAPH Asia '08  
Our technique is a geometric version of Phong normal interpolation, not applied on normals but on the vertex positions. We call this strategy Phong Tessellation.  ...  Instead of interpolating normals as in Phong Shading, we interpolate projection onto vertices tangent plane to define a curve geometry for each triangle.  ...  form curved silhouettes and contours (see Fig. 6 ).  ... 
doi:10.1145/1457515.1409094 fatcat:rhpwswycajhcbbgi7r3rs5zclu

A reduced model for interactive hairs

Menglei Chai, Changxi Zheng, Kun Zhou
2014 ACM Transactions on Graphics  
Randomly selected guide hairs (green curve) lead to large error.  ...  Randomly selected guide hairs (green curve) lead to large error.  ... 
doi:10.1145/2601097.2601211 fatcat:gv6a7umzovdb5fgnxsyvolifem

A Novel Approach for NURBS Interpolation with Minimal Feed Rate Fluctuation Based on Improved Adams-Moulton Method

Junquan Peng, Xinhua Liu, Lei Si, Jingjing Liu
2017 Mathematical Problems in Engineering  
At first, the representation and calculation of NURBS curve interpolation are described.  ...  Then, the constraints of feeding step length are firstly given out to calculate the minimal hoping feeding step length and the detailed IAM method of NURBS curve interpolation is presented.  ...  [18] presented a NURBS interpolation method based on Adams algorithm which ensured the realtime of the algorithm through reasonable simplification and approximation. Wu et al.  ... 
doi:10.1155/2017/8718760 fatcat:a4m6pbskuvgndednykve7p4vxi

The Measuring System of a Marathon Runner

Nobuyuki Sasaki, Iwao Namikawa
1990 IAPR International Workshop on Machine Vision Applications  
So by matching the sine curve of which frequency is already known as a pitch. the motion of each joint is specified and the hidden parts are interpolated very naturally.  ...  CG display subsystem detects the position of the joints of the runner's legs and displays their motion at realtime rate. legs and displays their motion at realtime rate.  ... 
dblp:conf/mva/SasakiN90 fatcat:e4sfpnjzifeddaorq5x5r5tnz4

Simulation and Implementation of an Improved Inscribed Chord Interpolation Algorithm

Hui Zhang, Qin Ruo Wang
2013 Advanced Materials Research  
The simulation results show the improvement on the quadratic curve interpolation in the inner string interpolation speed, good flexibility, and it worth popularizing in the interpolation algorithm for  ...  In order to improve the shortcomings of the realization of the traditional quadratic curve interpolation inscribed chord method, this paper proposes an improved internal chord interpolation algorithm.  ...  realtime interpolation operation.  ... 
doi:10.4028/www.scientific.net/amr.756-759.3220 fatcat:nz3x4iaqhffyrg6kn6ilytjayu

STUDY ON A SINGLE INTERPOLATION FUSION ALGORITHM FOR MULTISOURCE REMOTE SENSING DATA OF SOIL MOISTURE

J S YU
2019 Applied Ecology and Environmental Research  
The low-value region of the cumulative probability distribution curve is a crucial data segment for characterization of agricultural drought.  ...  .: Study on a single interpolation fusion algorithm for multisource remote sensing data of soil moisture -11605 -APPLIED ECOLOGY AND ENVIRONMENTAL RESEARCH 17(5):11605-11617. Abstract.  ...  Interpolation refers to the interpolation of discrete data to the continuous function, such that the continuous function curve passes through all data points.  ... 
doi:10.15666/aeer/1705_1160511617 fatcat:elaxtr5gx5fwhkvchj4zlxkdly

Exploration of a Stylistic Motion Space Through Realtime Synthesis
english

Joëlle Tilmanne, Nicolas D'Alessandro, Maria Astrinaki, Thierry Ravet
2014 Proceedings of the 9th International Conference on Computer Vision Theory and Applications  
The visualisation of the data is presented through projection of the synthesised motion curves onto a virtual character.  ...  Finally the representation of motion data through a 3D virtual character helps users to experience the real motion and not a non-intuitive series of motion curves.  ... 
doi:10.5220/0004876008030809 dblp:conf/visapp/TilmanneDAR14 fatcat:w2j3njie7zcqre3ttxftnwtpqe

A METHOD OF REAL-TIME NURBS INTERPOLATION WITH CONFINED CHORD ERROR FOR CNC SYSTEMS

Quang Huu Nguyen, Long Tien Banh
2017 Vietnam Journal of Science and Technology  
This paper presents a method of real-time CNC interpolation for free-form NURBS curves.  ...  With the updated value of u, a new interpolated point is calculated based on the DeBoor's algorithm.  ...  In this paper, the problem of chord error appeared in the realtime interpolation process is also considered, and a simple but efficient formula to adapt machining feedrate is proposed for the purpose of  ... 
doi:10.15625/2525-2518/55/5/9206 fatcat:ygbh6gmi2rc3zdg4usf5okywba

A Comparative Analysis of Image Interpolation Algorithms

Mr. Pankaj S. Parsania, Dr. Paresh V. Virparia
2016 IJARCCE  
Image interpolation is a technique used in resizing images.  ...  This paper presents, quality and computational time consideration of images while using these interpolation algorithms.  ...  In this paper, we discussed the main nonadaptive image interpolation algorithms suitable for realtime applications.  ... 
doi:10.17148/ijarcce.2016.5107 fatcat:tcxfgok7cvglvgy3v7n7hqw57a

Haptic Simulation of a Tool in Contact with a Nonlinear Deformable Body [chapter]

Mohsen Mahvash, Vincent Hayward
2003 Lecture Notes in Computer Science  
The response everywhere is synthesized via area interpolation of response curves stored at the nodes of the mesh.  ...  The computation of the response in such general cases is a task which does not yet admit computational solutions suitable for realtime implementation.  ...  Explicit or semi-explicit time integration are used to solve these models efficiently in realtime.  ... 
doi:10.1007/3-540-45015-7_30 fatcat:chqzsdwyvbcshjaikfi43xdsxu

Making waves for Surf's Up

Erick Miller, Rob Bredow, Daniel Kramer, Matt Hausman, Peter Shinners, Deborah Carlson, John Clark
2007 ACM SIGGRAPH 2007 sketches on - SIGGRAPH '07  
The rig contained ray intersection along the lip, called the crash curve, which was interpolated with quaternions of "spill vectors" to determine its ray direction, and then output interpolated energy  ...  data into an open GL particle preview node which displayed realtime preview of crashing white water particles in-scene.  ... 
doi:10.1145/1278780.1278892 dblp:conf/siggraph/MillerBKHSCC07 fatcat:dvkkshkznbh3xiyp5vx62pgq2u
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