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Author: Jiming Liu
Publisher: Springer Science & Business Media
ISBN: 3642188796
Category : Computers
Languages : en
Pages : 187
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Book Description
Spatial reasoning and planning is a core constituent in robotics, graphics, computer-aided design, and geographic information systems. After a review of previous work in the related areas, Liu and Daneshmend present a unified framework for qualitative spatial representation and reasoning. This paves the way for a generation of solutions to spatial problems where the geometric knowledge is imprecise. Many graphical illustrations and detailed algorithm descriptions help the reader to comprehend the solution paths and to develop their own applications. The book is written as a self-contained text for researchers and graduate students. The methodologies, algorithmic details, and case studies presented can be used as course material as well as a convenient reference.
Author: Jiming Liu
Publisher: Springer Science & Business Media
ISBN: 3642188796
Category : Computers
Languages : en
Pages : 187
Get Book Here
Book Description
Spatial reasoning and planning is a core constituent in robotics, graphics, computer-aided design, and geographic information systems. After a review of previous work in the related areas, Liu and Daneshmend present a unified framework for qualitative spatial representation and reasoning. This paves the way for a generation of solutions to spatial problems where the geometric knowledge is imprecise. Many graphical illustrations and detailed algorithm descriptions help the reader to comprehend the solution paths and to develop their own applications. The book is written as a self-contained text for researchers and graduate students. The methodologies, algorithmic details, and case studies presented can be used as course material as well as a convenient reference.
Author: Nora Newcombe
Publisher: MIT Press
ISBN: 9780262640503
Category : Family & Relationships
Languages : en
Pages : 284
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Book Description
Argues for an interactionist approach to spatial development that incorporates and integrates essential insights of the Piaget, Nativist, and Vygotskyan approaches.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309092086
Category : Education
Languages : en
Pages : 333
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Book Description
Learning to Think Spatially examines how spatial thinking might be incorporated into existing standards-based instruction across the school curriculum. Spatial thinking must be recognized as a fundamental part of Kâ€"12 education and as an integrator and a facilitator for problem solving across the curriculum. With advances in computing technologies and the increasing availability of geospatial data, spatial thinking will play a significant role in the information-based economy of the twenty-first century. Using appropriately designed support systems tailored to the Kâ€"12 context, spatial thinking can be taught formally to all students. A geographic information system (GIS) offers one example of a high-technology support system that can enable students and teachers to practice and apply spatial thinking in many areas of the curriculum.
Author: Sven Brüssow
Publisher:
ISBN:
Category :
Languages : en
Pages : 236
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Book Description
Author: Malke Rosenfeld
Publisher: Heinemann Educational Books
ISBN: 9780325074702
Category : Education
Languages : en
Pages : 0
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Book Description
"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.
Author: Leon Van Schaik
Publisher:
ISBN: 9781948765350
Category : Architecture
Languages : en
Pages : 0
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Book Description
How do designers in research-driven practices differentiate themselves from each other and form distinctive platforms for future practice? The research presented in this second edition and carried out in Australia as part of an Australian Research Council Discovery Program is of significance for design practice, review, and our deeper understanding of the design of space and spaces. In continuing the exploration of spatial intelligence," this research further develops our understanding of designers, how they work and what they draw on through their lives that shapes their spatial thinking, and their practice. The research also provides broader insights into a more public understanding and acknowledgement of our collective spatial intelligence. It shows how this could be developed and enhanced to provide more spatial and design literacy in our communities, and how these can engage with their changing environments. Contributors: Benedict Anderson, Suzie Attiwill, Nigel Bertram, Richard Black, Stephen Collier, Graham Crist, Lucas Devriendt, Harold Fallon, Arnaud Hendrickx, Tom Holbrook, CJ Lim, Paul Minifie, Vivian Mitsogianni, Stephen Neille, Deborah Saunt, Jon Tarry, Jo Van Den Berghe, Gretchen Wilkins
Author: Yiping Fang
Publisher:
ISBN: 9781312778986
Category : Geographic information systems
Languages : en
Pages : 59
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Book Description
The goals of this textbook are to help students acquire the technical skills of using software and managing a database, and develop research skills of collecting data, analyzing information and presenting results. We emphasize that the need to investigate the potential and practicality of GIS technologies in a typical planning setting and evaluate its possible applications. GIS may not be necessary (or useful) for every planning application, and we anticipate these readings to provide the necessary foundation for discerning its appropriate use. Therefore, this textbook attempts to facilitate spatial thinking focusing more on open-ended planning questions, which require judgment and exploration, while developing the analytical capacity for understanding a variety of local and regional planning challenges. While this textbook provides the background for understanding the concepts in GIS as applicable to urban and regional planning, it is best when accompanied by a hands-on tutorial, which will enable readers to develop an in-depth understanding of the specific planning applications of GIS. Chapters in this text book are either composed by the editors using Creative Common materials, or linked to a book chapter scanned copy in the library reserve. In the end of each chapter, we also provided several discussion questions, together with contextual applications through some web links.
Author: Simin Davoudi
Publisher: Routledge
ISBN: 1134084811
Category : Architecture
Languages : en
Pages : 305
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Book Description
Bringing together authors from academia and practice, this book examines spatial planning at different scales in a number of case studies throughout the British Isles, helping planners to become re-engaged in critical thinking about space and place.
Author: John S. Gero
Publisher: Springer
ISBN: 9401792976
Category : Technology & Engineering
Languages : en
Pages : 267
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Book Description
Creativity and design creativity in particular are being recognized as playing an increasing role in the social and economic wellbeing of a society. As a consequence creativity is becoming a focus of research. However, much of this burgeoning research is distributed across multiple disciplines that normally do not intersect with each other and researchers in one discipline are often unaware of related research in another discipline. This volume brings together contributions from design science, computer science, cognitive science and neuroscience on studying visual and spatial reasoning applicable to design creativity. The book is the result of a unique NSF-funded workshop held in Aix-en-Provence, France. The aim of the workshop and the resulting volume was to allow researchers in disparate disciplines to be exposed to the other’s research, research methods and research results within the context of design creativity. Fifteen of the papers presented and discussed at the workshop are contained in this volume. The contributors come from Germany, Israel, Netherlands, Poland, Singapore, UK and USA, indicating the international spread of the research presented in this volume.
Author: Oscar Eduardo Ruiz
Publisher:
ISBN:
Category :
Languages : en
Pages : 300
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Book Description
Reasoning about geometric relations and construction of scenes satisfying them are critically important tasks in computer-aided design, manufacturing and process planning. This work addresses these tasks by producing a centralized server for static and dynamic geometric reasoning. Static reasoning involves geometric algorithms with fully and consistently defined entities. The algorithms include (i) constructive queries (intersection, projections, convex hulls, etc); and (ii) logical queries (testing of inclusion, intersection, etc.). Dynamic reasoning addresses the geometric constraint satisfaction or scene feasibility (GCS/SF) problem. In GCS/SF, a context world is used to propose a series of geometric constraints among undefined entities (points, planes, lines, polyhedra). The objective is to obtain either a diagnostic of inconsistency, or a set of entities satisfying the constraints. The solution to GCS/SF finds applications in fixturing, assembly planning, parametric design, tolerancing analysis, kinematic analysis of mechanisms, etc. GCS/SF can be expressed as a set of polynomial equations, with the feasible configurations corresponding to common roots of the polynomials. Using known results in algebraic geometry, this work maps properties of Grobner bases to the GCS/SF domain. The mapping allows to determine multiplicity of feasible scenarios, redundancy and consistency of constraints, and degrees of freedom of the entities involved. A compact and efficient formulation in terms of the subgroups of the special Euclidean group of displacements SE(3) has been used in conjunction with the Grobner bases algorithm. The integration of these techniques (i) lowers the computational cost of the problem; (ii) relates Grobner Bases to the degrees of freedom of the entities; (iii) integrates the topological (nature of the constraints) and geometrical (dimensions of the scene) aspects; and (iv) places no restriction on the constraints modeled. This research has also explored a Divide and Conquer strategy that identifies GCS/SF subproblems which are solved separately and then consolidated in the overall solution. Experimental results obtained reflect the advantages of this approach. Applications of this work to mobility analysis of mechanisms, feasibility analysis of assemblies and form feature extraction are discussed.
