Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Fractal descriptions for spatial statistics.

R B King1, L J Weissman, J B Bassingthwaighte

  • 1Center for Bioengineering, University of Washington, Seattle 98195.

Annals of Biomedical Engineering
|January 1, 1990
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Aural myiasis in Ancient Rome: Celsus and the ear maggots.

The Journal of laryngology and otology·2022
Same author

Planar Networks of Boron Triangles: Analogies to Benzene and Other Planar Aromatic Hydrocarbons.

The journal of physical chemistry. A·2022
Same author

THE QUEST FOR DICYANOVINYLIDENE THROUGH TRANSITION METAL ORGANOMETALLIC CHEMISTRY.

Annals of the New York Academy of Sciences·2017
Same author

Boron monoxide dimer as a building block for boroxine based buckyballs and related cages: a theoretical study.

Chemical communications (Cambridge, England)·2017
Same author

Time-resolved dosimetric verification of respiratory-gated radiotherapy exposures using a high-resolution 2D ionisation chamber array.

Physics in medicine and biology·2016
Same author

Diverse Data Sets Can Yield Reliable Information through Mechanistic Modeling: Salicylic Acid Clearance.

British journal of pharmaceutical research·2016
Same journal

A Physiologic Left Ventricle Flow Phantom for 4D Flow MRI Applications and CFD Verification.

Annals of biomedical engineering·2026
Same journal

Pulsatile Hemodynamics of Prehypertension and Hypertension: Associations with Pressure and Sex.

Annals of biomedical engineering·2026
Same journal

A Pressure Difference-Based Strategy for Blood Oxygen Control in Membrane Oxygenators: Reduced Modeling, Computational Simulation, and Exploratory In Vivo Evaluation.

Annals of biomedical engineering·2026
Same journal

Multidirectional Optical Bone Densitometry Using a Simulation-Based Machine Learning Model: Experimental Validation with Bone Phantoms.

Annals of biomedical engineering·2026
Same journal

Numerical Study of Human Torso Mechanical Response and Injury Assessment Under Blast Loading with Bulletproof Protection.

Annals of biomedical engineering·2026
Same journal

Immediate and Mid-Long-Term Effects of Foot Orthoses on Gait Biomechanics and Clinical Characteristics in Medial Knee Osteoarthritis: A Systematic Review and Meta-analysis.

Annals of biomedical engineering·2026
See all related articles

Fractal analysis offers a novel method for describing spatial variance and heterogeneity. This approach provides deeper insights into spatial correlation and the origins of data heterogeneity across various scales.

Area of Science:

  • Spatial Statistics
  • Geostatistics
  • Fractal Geometry

Background:

  • Traditional spatial statistics methods excel at estimating means and differences but lack a general approach for describing variance.
  • Measures of heterogeneity are sensitive to the chosen element size, leading to scale-dependent estimates.
  • Apparent heterogeneity increases with higher-resolution data, posing challenges for consistent analysis.

Purpose of the Study:

  • To introduce fractal relationships as a general approach for describing spatial variance and heterogeneity.
  • To demonstrate the utility of fractal analysis in characterizing data across a wide range of element sizes.
  • To explore the additional insights fractal methods provide, such as spatial correlation and underlying heterogeneity basis.

Main Methods:

Related Experiment Videos

  • Application of fractal geometry principles to analyze spatial data.
  • Investigating the relationship between apparent heterogeneity and the size of observed spatial elements.
  • Utilizing fractal relationships to describe data patterns over large ranges of element sizes.

Main Results:

  • Fractal relationships provide concise and precise descriptions of heterogeneity for diverse data types.
  • This approach effectively bridges the gap in describing variance and heterogeneity across different scales.
  • Fractal analysis yields measures of spatial correlation and suggests avenues for understanding heterogeneity's origins.

Conclusions:

  • Fractal analysis represents a significant advancement in spatial statistics for characterizing variance and heterogeneity.
  • The method offers enhanced understanding of spatial data structure and underlying processes.
  • This approach is valuable for diverse scientific fields dealing with spatially distributed data.