Computational geometry - PowerPoint PPT Presentation


Computational thinking as 21st Century skill

Computational thinking is a critical skill for the digital age, involving problem-solving techniques that enable computers to process information effectively. It precedes programming and requires breaking down complex problems into manageable steps. Educators emphasize computational thinking exercis

7 views • 4 slides


Computational Geometry.

Voronoi diagrams, a key concept in computational geometry, involve partitioning a space based on points sites. They have diverse applications like nearest neighbor queries and facility location. The diagrams consist of Voronoi cells, edges, and vertices, forming a connected graph. Properties include

0 views • 19 slides



Master's Program in Computational Drug Discovery and Development - Fall 2024 Curriculum

This Master's program offers a comprehensive curriculum focusing on Artificial Intelligence, Computational Drug Discovery, and Development. With a blend of cutting-edge technologies and practical applications, students delve into techniques, AI/ML, big data mining, modeling, and more. Through intens

1 views • 7 slides


Understanding Circle Geometry Principles

Explore key concepts in circle geometry such as angles subtended at the center and circumference, cyclic quadrilaterals, properties of tangents and chords, and the significance of major and minor segments. Uncover relationships between angles, segments, and points on a circle, including alternate se

2 views • 8 slides


Autodesk Inventor Geometric Construction Tools Overview

Explore the functionality of Autodesk Inventor's geometric construction tools, such as applying geometry constraints, utilizing trim/extend and offset commands, understanding profile sketches, creating projected geometry, and editing sketches with click and drag. Discover how to enhance efficiency i

1 views • 12 slides


Understanding Computational Linguistics and Natural Language Processing

Explore the fascinating fields of Computational Linguistics and Natural Language Processing (NLP), delving into their development, applications, and significance. Learn about the study of human languages in computational models, the importance of corpora in linguistic research, and the various types

1 views • 33 slides


Understanding Euclid's Geometry: The Fundamentals Explained

Euclid, known as the Father of Geometry, introduced the principles of geometry in Egypt. His work included definitions, axioms, and postulates that laid the foundation for geometric reasoning. Euclid's Five Postulates are crucial in understanding the basic concepts of geometry. This article provides

1 views • 12 slides


Understanding Similar Polygons in Geometry

Explore the concept of similar polygons in geometry through a comprehensive slideshow developed to accompany the textbook "Big Ideas Geometry" by Larson and Boswell. Learn to identify corresponding lengths, perimeters, and areas of similar polygons, make similarity statements, and determine similari

0 views • 24 slides


Diverse High School Courses at BMV: Algebra, Geometry, Biology, Debate, Spanish

Explore a variety of high school courses at BMV including Algebra 1 Honors, Geometry Honors, Biology Honors, Debate, and Spanish 1. These courses offer a comprehensive range of subjects from math to language arts, preparing students for advanced studies and fulfilling graduation requirements. Studen

0 views • 19 slides


Insights from Geant4 Development Team on ATLAS Geometry Investigations

Investigating the ATLAS geometry using Geant4, the team from National Research Tomsk State University presented findings at the 23rd Geant4 Collaboration Meeting. They focused on solid methods, CPU consumption, and optimizing geometry descriptions to enhance simulation performance. Specifics of the

0 views • 40 slides


Practical Geometry Guide by S.N. Mishra

Practical Geometry Made by S.N. Mishra is a comprehensive guide that covers various aspects of practical geometry with detailed explanations and visual aids. The guide includes step-by-step instructions, illustrations, and practical examples to help users grasp the concepts easily. Whether you are a

0 views • 12 slides


Geometry Test Prep Questions

Prepare for your geometry test by reviewing essential questions on points, lines, planes, distances, and intersections. Use the provided images to practice concepts such as collinear points, intersecting lines, opposite rays, and more. Challenge yourself to solve distance problems without using form

0 views • 31 slides


Understanding Computational Complexity Through Statistical Physics

In the age of vast data growth, tackling complex computational problems is crucial. Statistical physics can provide insights into handling the new challenges arising from the exponential increase in data. As we delve into understanding the complexity of computational tasks, it becomes evident that e

0 views • 24 slides


Development of Plasma-Facing Geometry Design for W-Divertor in SOLTKT Fusion Reactor

Study on the plasma-facing geometry design based on power shell geometry in the SOL TKT W-divertor development for the fusion reactor. The research involves fundamental differences in divertor baffle design, materials used, heat load requirements, interface connections, and key design concerns. The

0 views • 14 slides


Understanding Convex Hulls in Computational Geometry

Convex hulls are a fundamental concept in computational geometry, representing the smallest convex shape that contains a set of points. The process involves defining the convexity of a set, determining the unique convex polygon, and computing the convex hull efficiently using algorithms. This conten

0 views • 9 slides


Introduction to Priority Search Trees in Computational Geometry

This lecture outlines the structure and query process of Priority Search Trees (PST) in computational geometry. It covers heap-based point queries, range trees for windowing queries, handling query ranges in 1D and 2D spaces, and using heaps to efficiently handle query ranges. The content discusses

1 views • 18 slides


Understanding the Impact of Digital Tools on Geometry Learning

This study explores how digital tools influence students' learning of geometry through an interactive online course developed by The Center for Educational Technology. The course focuses on concept development, tool utilization, and cognitive paths in geometry education. Research findings emphasize

0 views • 14 slides


Understanding Conditional Statements in Geometry

In this chapter of "Big Ideas Geometry," the focus is on conditional statements in geometry. Learn how to write conditional and biconditional statements, determine if statements are true or false, and explore logical implications such as converse and negation. Through examples and explanations, gras

0 views • 54 slides


Understanding Computational Geometry: Triangulations and Art Gallery Guarding

Explore the concepts of triangulations and guarding art galleries in computational geometry. Learn about the problem of placing cameras or guards strategically in an art gallery to ensure every point is visible. Discover how polygons are defined, the variations in guarding strategies, and the use of

0 views • 31 slides


Advancing Computational Modeling for National Security and Climate Missions

Irina Tezaur leads the Quantitative Modeling & Analysis Department, focusing on computational modeling and simulation of complex multi-scale, multi-physics problems. Her work benefits DOE nuclear weapons, national security, and climate missions. By employing innovative techniques like model order re

0 views • 6 slides


CFD Workshop on Geometry Generation and Meshing Techniques

This workshop focused on the use of geometry modeling and mesh generation techniques in Computational Fluid Dynamics (CFD) simulations. Participants discussed key questions, findings, lessons learned, supporting evidence, and future plans relating to geometry manipulation, mesh quality, and the impa

0 views • 8 slides


Understanding Computational Biology: Proteins, DNA, RNA, Genetics, and Evolution

Computational Biology combines computational methods with molecular biology to solve biological problems. Explore topics like proteins, DNA, RNA, and genetics, learning about amino acids, nucleotides, and the genetic code. Understand the evolutionary processes of mutation and natural selection.

0 views • 21 slides


Geometry Constructions: A Synthesis of Theory and Practice

Explore the world of geometry constructions through ruler/compass-based techniques, combining logical reasoning and visual elements to create engaging exercises. Discover the programming language for constructing geometric shapes, with an example problem and a specification language for geometry pro

0 views • 25 slides


Geometry Concepts and Calculations Practice Questions

This content covers various topics in geometry, including decimal and fraction conversions, percentage calculations, along with missing angle calculations. It offers practice questions for students to enhance their understanding of geometry concepts.

0 views • 11 slides


Basics of Geometry: Understanding Points, Lines, and Planes

Explore the fundamental concepts of geometry in this slideshow developed to accompany the textbook "Big Ideas Geometry." Learn about points, lines, and planes, their characteristics, how they are named, and their relationships in space. Gain a clear understanding of line segments, rays, collinear po

0 views • 55 slides


Computational Geometry: Algorithms and Methods in Geometric Problem Solving

Explore the realm of computational geometry encompassing line segment crossing, convex hulls, Voronoi diagrams, and element distinctness reduction. Delve into techniques like line crossing checks, enumeration of cross points, and the sweep method, which are crucial for solving geometric problems eff

0 views • 32 slides


Understanding Convex Hulls in Computational Geometry

Convex hulls play a vital role in computational geometry, enabling shape approximation, collision avoidance in robotics, and finding smallest enclosing boxes for point sets. The convex hull problem involves computing the smallest convex polygon containing a set of points, with extreme points determi

0 views • 119 slides


Understanding Circle Theorems and Pythagoras Theorem in Geometry

Explore the key concepts of circle theorems and Pythagoras theorem in geometry. Learn about the parts of a circle, properties of chords, the relationship between the radius and tangent, and how Pythagoras theorem can be applied to solve circle-related problems like finding distances and lengths. Eng

0 views • 8 slides


Understanding Properties of Circles in Geometry

Explore the key concepts and properties related to circles in geometry, such as tangents, diameters, secants, and common tangents. Discover how tangents interact with circles and learn about the relationships between radius, diameter, and chord lengths. Enhance your understanding of circle geometry

0 views • 48 slides


Plane Sweep Algorithms in Computational Geometry

Plane sweep algorithms are a powerful technique in computational geometry for solving various problems efficiently. By simulating the sweep of a vertical line across the plane and maintaining a cleanliness property, these algorithms can process events at discrete points in time to update the status

0 views • 26 slides


Overview of Subdivision Overlay in Computational Geometry

Introduction to the overlay problem in computational geometry, focusing on computing a doubly-connected edge list for a new planar subdivision by handling various edge crossings and updates efficiently using a general approach involving DCEL manipulation and intersection computations.

0 views • 21 slides


Introduction to Computational Number Theory in Cryptography

Practical private-key cryptography can be done without advanced math, but understanding computational number theory is essential for public-key encryption. This field focuses on the computational difficulty of problems, analyzing algorithms' running times, classifying problems as easy or hard based

0 views • 27 slides


Understanding the Essence of Computer Science and Computational Thinking

Delve into the fundamentals of Computer Science and Computational Thinking through chapters discussing the nature of science, predictions in physics, and the distinction between Computer Science and Computer Information Systems. Explore the relationships between Math, Physics, and Computer Science i

0 views • 29 slides


Advancing Auditory Enhancement: Integrating Spleeter with Advanced Remixing Techniques in The Cadenza Challenge 2023

Our project for The Cadenza Challenge 2023 focused on improving audio for headphone users with hearing loss by integrating Spleeter's deep learning capabilities. We utilized N-ALR prescriptions, Butterworth bandpass filters, and Dynamic Range Compression to enhance audio quality. By leveraging advan

0 views • 19 slides


North American Computational Linguistics Olympiad: A Competition for High School Students

The North American Computational Linguistics Olympiad (NACLO) is a competition for high school students interested in linguistics, languages, and computation. It consists of an Open Round in January and an Invitational Round in March, with no prerequisites needed. Participants tackle easy problems i

0 views • 4 slides


Mississippi Center for Supercomputing Research (MCSR) Overview

The Mississippi Center for Supercomputing Research (MCSR) supports computational research in various fields like Chemistry, Bioinformatics, Physics, Engineering, and Computer Science for Mississippi IHLs. They provide training to optimize computational resources, offer classes for computational trai

0 views • 23 slides


Exploring Computational Theories of Brain Function

In this series of images and text snippets, the discussion revolves around the emerging field of computational theories of brain function. Various aspects such as symbolic memories, the relationship between the brain and computation, the emergence of the mind from the brain, and computational thinki

0 views • 53 slides


Computational Earth Science Course Overview

Explore the world of Computational Earth Science with Bill Menke as the instructor and Emily Glazer as the teaching assistant. The course aims to help you become proficient in applying Python-based computational methods to understand dynamic Earth Science phenomena. Through modeling, you will gain i

0 views • 34 slides


Exploring Computational Play in Early Childhood Education: DLI 2023 Workshop

The workshop at the 8th EAI International Conference on Design, Learning & Innovation (DLI 2023) in Aalborg aims to delve into the application of computational play with mathematics in early childhood education. Through live sessions and discussions, opportunities and challenges in utilizing computa

0 views • 7 slides


Understanding the Ham-Sandwich Theorem in Computational Geometry

The Ham-Sandwich Theorem states that given two finite point sets in the plane, there exists a line that divides each set such that each side contains at most half of the points in that set. The proof involves finding such a line and rotating it to maintain the property. This concept is essential in

0 views • 19 slides