NDLI: Accurate Isosurface Interpolation with Hermite Data

Content Provider	IEEE Xplore Digital Library
Author	Fuhrmann, S. Kazhdan, M. Goesele, M.
Copyright Year	2015
Abstract	In this work we study the interpolation problem in contouring methods such as Marching Cubes. Traditionally, linear interpolation is used to define the position of an is vertex along a zero-crossing edge, which is a suitable approach if the underlying implicit function is (approximately) piecewise linear along each edge. Non-linear implicit functions, however, are frequently encountered and linear interpolation leads to inaccurate is surfaces with visible reconstruction artifacts. We instead utilize the gradient of the implicit function to generate more accurate is surfaces by means of Hermite interpolation techniques. We propose and compare several interpolation methods and demonstrate clear quality improvements by using higher order interpolants. We further show the effectiveness of the approach even when Hermite data is not available and gradients are approximated using finite differences.
Starting Page	256
Ending Page	263
File Size	957846
Page Count	8
File Format	PDF
e-ISBN	9781467383325
DOI	10.1109/3DV.2015.36
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-10-19
Publisher Place	France
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Linear systems Interpolation Surface reconstruction Isosurface Extraction Shape Surface morphology Hermite interpolation Marching Cubes Polynomials Isosurfaces
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Three-Dimensional Reconstruction of Medical Image Based on Improved Marching Cubes Algorithm

Accurate Isosurface Interpolation with Hermite Data

Uncertainty Quantification in Linear Interpolation for Isosurface Extraction

Parallel surface reconstruction on GPU

Isosurface Visualization of Data with Nonparametric Models for Uncertainty

Iso-surface Extraction and Optimization Method Based on Marching Cubes

Templated marching cubes — A low computation approach to surface rendering

Approximating normals for marching cubes applied to locally supported isosurfaces

Isosurface reconstruction with topology control

Accurate Isosurface Interpolation with Hermite Data

Similar Documents

Three-Dimensional Reconstruction of Medical Image Based on Improved Marching Cubes Algorithm

Accurate Isosurface Interpolation with Hermite Data

Uncertainty Quantification in Linear Interpolation for Isosurface Extraction

Parallel surface reconstruction on GPU

Isosurface Visualization of Data with Nonparametric Models for Uncertainty

Iso-surface Extraction and Optimization Method Based on Marching Cubes

Templated marching cubes — A low computation approach to surface rendering

Approximating normals for marching cubes applied to locally supported isosurfaces

Isosurface reconstruction with topology control

Accurate Isosurface Interpolation with Hermite Data