title: Light and Fast Renderings of Limit Sets for Fuchsian and Kleinian Groups
metadata.name: dc.contributor.author
metadata.value: Rosa, Alessandro
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-12-02T17:41:03Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-12-02T17:41:03Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-09
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2024.305
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/48058
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: After introducing some basic mathematical theory on kleinian groups, we discuss both technical features and drawbacks of the classic approach adopted to render the digital representation of diagrams that display either the action of tessellation and the limit sets related to Kleinian groups in one complex variable. We will then follow to illustrating the details of a new approach, based upon numerical base conversion. This discussion will be supported by pseudo-code, in order to explain the implementation guidelines. Finally, we will review the benefits of this algorithm.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Differential Equations and Control Processes;Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: Limit set
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: dynamical systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Kleinian group
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: linear fractional transformation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: circle inversion
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Light and Fast Renderings of Limit Sets for Fuchsian and Kleinian Groups
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 24305-jdecp-rosa.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/48058/1/24305-jdecp-rosa.pdf
resources.format: Adobe PDF
resources.size: 1,61 MB