The elastic bending energy of pythagorean-hodograph curves

Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon

http://www.cs.uky.edu/~cheng/PUBL/Paper_Nagata.pdf

Simple local interpolation of surfaces using normal vectors

In this paper a new method for parameterizing clouds of unorganized points is presented The proposed method introduces the notion of dynamic base surfaces (DBS) which are dynamically adapted to the three-dimensional shape implied by the clouds of points The only assumption regarding the cloud of points is the existence of a boundary defined by a closed path of four curves The proposed method is based on an iterative procedure where a DBS is gradually improved approximating more faithfully the fundamental geometry of the cloud of points Parameterization is achieved by orthogonally projecting the cloud of points onto the DBS An application of the introduced parameterization method to the well-known surface least-squares fitting is presented which illustrates the effectiveness and the efficiency of the proposed approach

Parameterization of clouds of unorganized points using dynamic base surfaces

Evaluation of difference bounds for computing rational Bézier curves and surfaces

Curve and surface design

On a tolerance problem of parametric curves and surfaces

Note on the RBG-patch concept

Handle everyday research tasks with reliable, citation-backed results

Your personal Research Agent to handle research tasks with citation-backed results

Popular Tasks used by Researchers

How can I help with your research?

Meet SciSpace

Get more enhanced response by uploading the PDFs you want me to reference.

No relevant PDFs in your library

SciSpace is the AI research assistant for academics. Run systematic literature reviews on 280M+ papers, and write papers with cited sources. Trusted by 1M+ students, PhDs & researchers.

SciSpace | AI for Research

Analyze PDFs

Code & Manuscripts

Funding & Grants

Literature & Patents

Medical & Clinical Data

Systematic Review

Visualize & Present

Web & Data

Build a Google Scholar-like website for your research.

Build a website

Create charts and images for your research

Create a Chart

Write a paper for submission to a journal

Draft a manuscript

Patent Search

Design eye-catching scientific posters in minutes.

Scientific Poster Generation

Systematic Literature Review

One task is running at the moment. Your messages will be shown right after.

Drag and drop or click here to browse

Loved by <highlight>1 million+</highlight> researchers

Extract a list of specific topics and their sources from unstructured text

Topics

Compare and analyze relevant papers that matches with your search

Papers

Get insights from PDFs and bookmarked papers from your library

My library

Recent searches

Try searching for:

Catch AI-generated content in scholarly and non-scholarly content

{ai} Detector

Ai Writer

Get PDF Summaries, highlighted text explanations 

Chat with PDF

Effortlessly create in-text citations and bibliographies in APA and 2,500 other formats

Citation generator

Get explanations, summaries, and answers on academic papers

Ease up your research workflow with {scispace}'s cohort of exciting AI tools

Elevate your academic writing skills and convey your ideas the way you want

Paraphraser

Explore our range of reading and writing tools

Your file is being prepared and should be ready in a few minutes. If it's a large file, it might take a bit longer. You can close this window, and we'll email you the file when it's done.

You have reached a maximum limit of <strong>{limit}</strong> columns in the table. Remove at least <strong>1</strong> column to add or create another one.

Thomas Hermann

Author Tools

Chat about Author

Papers

Curve and surface design

On a tolerance problem of parametric curves and surfaces

Note on the RBG-patch concept