A Coordinate-Based Cross-Product Method for Calculating Torn Cloth Area through Vector Analysis

Measuring the area of torn cloth with irregular shapes can be difficult and time-consuming. This study presents a method to calculate the area using coordinates and the cross product. The torn cloth is drawn on graph paper to mark key points across the torn cloth's graph. These points are used to create vectors, and the cross product is applied to find the area. This method is simple, accurate, and avoids the need for complex tools. The results show that it works well for irregular shapes and can be useful in fields like textile studies and forensics.

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-10
DOI
https://doi.org/10.5281/zenodo.15617168
Primary Topic
Cultural Heritage Materials Analysis
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A Coordinate-Based Cross-Product Method for Calculating Torn Cloth Area through Vector Analysis

Zenodo (CERN European Organization for Nuclear Research)
Cultural Heritage Materials Analysis
article

A Coordinate-Based Cross-Product Method for Calculating Torn Cloth Area through Vector Analysis

article en

Abstract

Measuring the area of torn cloth with irregular shapes can be difficult and time-consuming. This study presents a method to calculate the area using coordinates and the cross product. The torn cloth is drawn on graph paper to mark key points across the torn cloth's graph. These points are used to create vectors, and the cross product is applied to find the area. This method is simple, accurate, and avoids the need for complex tools. The results show that it works well for irregular shapes and can be useful in fields like textile studies and forensics.

Zenodo (CERN European Organization for Nuclear Research)
Universiti Teknologi MARA System (MY), Universitas Kebangsaan Republik Indonesia (ID), Universiti Teknologi MARA (MY)
Openalex Percentile: Top 59%
Cultural Heritage Materials Analysis
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A Coordinate-Based Cross-Product Method for Calculating Torn Cloth Area through Vector Analysis · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS