Article Per Year (5 Year)
p-Index From 2021 - 2026
1.456
P-Index
This Author published in this journals
All Journal Jurnal Matematika Jurnal Ilmu Dasar BERKALA SAINSTEK CAUCHY: Jurnal Matematika Murni dan Aplikasi Prosiding Seminar Matematika dan Pendidikan Matematik UNEJ e-Proceeding Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Zero : Jurnal Sains, Matematika, dan Terapan Mathvision : Jurnal Matematika Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Majalah Ilmiah Matematika dan Statistika (MIMS) Jurnal Eurekamatika
Kosala Dwidja Purnomo
Jurusan Matematika FMIPA Universitas Jember
Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Education Industrial & Manufacturing Engineering Mathematics Physics

Published : 30 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 30 Documents
Search

 1   2   3 
PENDETEKSIAN CITRA DAUN TANAMAN MENGGUNAKAN METODE BOX COUNTING Juwitarty, Novita Anggraini; Purnomo, Kosala Dwidja; Santoso, Kiswara Agung
Majalah Ilmiah Matematika dan Statistika Vol 20 No 1 (2020): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v20i1.17221

Abstract

Different types of plants make identification difficult. Therefore, we need a system that can identify the similarity of the leaves based on a reference leaf. Extraction can be done by taking one part of the plant and the most easily obtained part is the leaf part. Natural objects such as leaves have irregular shapes and are difficult to measure, but this can be overcome by using fractal dimensions. In this research, image detection of plant leaves will be carried out using the box counting method. The box counting method is a method of calculating fractal dimensions by dividing images into small boxes in various sizes. Image detection using fractal dimension values, we know which leaves the match with the reference. In this study,10 species of leave were tested, with each species 10 samples of plant leaves. Image testing of plant leaves uses a variety of r box size, namely 1/2 ,1/4 , 1/8 , 1/16 ,1/32 , 1/64 , 128which obtain an average match accuracy of 44%. Keywords: Box Counting, Fractal dimension
PEMANFAATAN METODE ITERATED FUNCTION SYSTEM (IFS) PADA PEMBANGKITAN KURVA NAGA Suny, Vian Hafid; Purnomo, Kosala Dwidja; Ubaidillah, Firdaus
Majalah Ilmiah Matematika dan Statistika Vol 20 No 2 (2020): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v20i2.15780

Abstract

Fractals have two types, namely fractals sets (artificial fractals) and natural fractals. Each type of fractal has a variety of fractal objects. One of the fractal objects is the Dragon Curve. Fractal objects can be generated through two methods, namely the Lindenmayer System (L-System) and the Iterated Function System (IFS). In previous studies, the Dragon curve can be generated through the L-System approach. The method is to start from determining the rotation angle, then determining the initial string, and the last one, which is determining the production rules. In this study, the Dragon curve is generated using IFS with Affine Transformation. The Affine transformation used in this study is dilation and rotation. Some variation is given on the scale of dilation and rotation angle. The variation is using a fixed angle with a variety of scale and using a fixed scale with a variation of angle. Each variation gives a different effect. This influence results in a varied visualization of the Naga curve. If the scale and angle that is varied approach a scale of one and an angle of 90° then the fractal formed approaches the Dragon curve of a scale of one with an angle of 90°. Conversely, if the scale and angle are varied away from one scale and angle of 90°, the fractal formed away from the Dragon curve of scale one with an angle of 90°. Keywords: Affine transformation, dragon curve, IFS method.
PEMANFAATAN ITERATED FUNCTION SYSTEM (IFS) UNTUK MEMBANGKITKAN MOTIF ANYAMAN UKURAN n x n Maris, Ingka; Purnomo, Kosala Dwidja; Juliyanto, Bagus
Majalah Ilmiah Matematika dan Statistika Vol 21 No 1 (2021): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v21i1.23120

Abstract

Woven is one of art thats very close to life. Woven has a pattern consisting of two-dimensional (2D) and has a basic pattern. Along with the development times, technology is also growing including computer technology. Computer can be used for mathematical calculation process, one of them is fractal. Fractal Sierpinski carpet is formed from a square that use Iterated Function System (IFS) method. This method is exact self-similar resulting in the same fractal with the original constituent object. The writer want to get woven pattern using computer technology, that is GUI application in Matlab that utilizes the IFS method on fractal. Woven patterns formed from woven that have a grid size of n x n and are given a few iterations. So, that it can make it easier for craftsmen to make woven pattern that are interesting and varied.
Determination of Fractal Area of the Koch Snowflake Kamil, Abdul; Hidayat, Rusli; Purnomo, Kosala Dwidja
Majalah Ilmiah Matematika dan Statistika Vol 17 No 1 (2017): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v17i1.23750

Abstract

The Koch Snowflake Island (Koch Snowflake) is composed of three Koch curves rotated by suitable angles and fitted together. The Koch curve is constructed using an iterative procedure beginning with the initiator of the set as the unit line segment. The unit line segment is divided into thirds and the middle third removed, then replaced with equilateral triangle without base. In this article to get formulation of the area fractals Koch Snowflake and its variations, generated by generator equilateral triangle, isosceles triangle and square to the sides of the regular polygon which has n sides.
Pembangkitan Fraktal Pohon Pythagoras Menggunakan Iterated Function System Jafna Kamalia Sundusia; Firdaus Ubaidillah; Kosala Dwidja Purnomo
Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Vol 3 No 1 (2019): Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai Islami)
Publisher : Mathematics Department

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Fraktal merupakan objek geometri yang tampak memiliki persamaan bentuk yang mewakili bentuk dasar objek itu sendiri jika dilihat dari skala tertentu dan merupakan bagian terkecil dari struktur suatu objek secara keseluruhan. Keberadaan geometri fraktal menunjukkan bahwa matematika bukanlah ilmu yang datar, tetapi merupakan ilmu yang indah yang dapat menghasilkan karya-karya yang memiliki nilai seni tinggi. Ada banyak sekali objek fraktal yang sering dijumpai di alam atau dalam kehidupan manusia, seperti misalnya pohon. Pohon dapat dibangun secara berulang dari segitiga siku-siku dengan persegi yang dipasang pada masing-masing sisi, yang disebut sebagai pohon Pythagoras, dimana pohon Pythagoras terinspirasi dari teorema Pythagoras. Berbagai bentuk pohon Pythagoras dapat diperoleh dengan memvariasikan sudutnya, yaitu melalui operasi dilatasi dan rotasi dalam IFS, sehingga diperoleh pohon Pythagoras dengan sudut tetap, sudut beda per iterasi, dan sudut random per iterasi.
Kajian Morfisme Untuk Variasi Kurva Dense Fibonacci Word Anggi Enggar Sari; Kosala Dwidja Purnomo; Firdaus Ubaidillah
Jurnal Matematika Vol 11 No 1 (2021)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2021.v11.i01.p136

Abstract

The Fibonacci word is one example of a fractal object. The fractal Fibonacci word has the property of being similar to curves with curves. The curve Fibonacci word generated based on the Fibonacci word sequence. The Fibonacci word sequence can be defined by morphism so that a new sequence with the three-digit rule {0,1,2} is called Dense Fibonacci Word. In this research, the variation of the curve Dense Fibonacci Word generated by using the method L-Systems which applies several morphisms. This research method is divided into five stages, the first is the interpretation of the Dense Fibonacci Word and variations of morphism based on the Fibonacci word sequence. Second, the interpretation of fractals Dense Fibonacci Word using the method L-Systems mathematically. Third, the interpretation of fractals Dense Fibonacci Word using the method L-Systems graphically. Fourth, program making and fifth, analysis of results. The results obtained in this study are the visualization of the curve Dense Fibonacci Word with the method L-Systems, the shape of the curve Dense Fibonacci Word varies by applying several morphisms. The variation of the curve Dense Fibonacci Word is compared to each morphism which results in a different shape of the curve Dense Fibonacci Word in the small generation, but the larger the generation the fractal pattern is the same.
Kajian Pembentukan Segitiga Sierpinski Pada Masalah Chaos Game dengan Memanfaatkan Transformasi Affine Kosala Dwidja Purnomo; Rere Figurani Armana; , Kusno
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2016.v06.i02.p71

Abstract

The collection of midpoints in chaos game at early iteration looked like a shapeless or chaos. However, at the thousands of iterations the collection will converge to the Sierpinski triangle pattern. In this article Sierpinski triangle pattern will be discussed by the midpoint formula and affine transformation, that is dilation operation. The starting point taken is not bounded within the equilateral triangle, but also outside of it. This study shows that midpoints plotted always converge at one of vertices of the triangle. The sequence of collection midpoints is on the line segments that form Sierpinski triangle, will always lie on the line segments at any next iteration. Meanwhile, a midpoint that is not on the line segments, in particular iteration will be possible on the line segments that form Sierpinski triangle. In the next iteration these midpoints will always be on the line segment that form Sierpinski triangle. So, the collection of midpoints at thousands of iteration will form Sierpinski triangle pattern.
Solution Estimation of Logistic Growth Model with Ensemble Kalman Filter Method Vianda Nuning Fitriani; Kosala Dwidja Purnomo
Jurnal ILMU DASAR Vol 14 No 2 (2013)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1199.64 KB) | DOI: 10.19184/jid.v14i2.514

Abstract

Ensemble Kalman Filter (EnKF) can be applied for linear or nonlinear models. This paper is aimed to estimate the logistic growth of population models using EnKF. The estimation will be compared with the analytical solution. We assume that we can find the analytical solution of the models. The models is in the specific form i.e comparison between the population growth rate and the amount of population is in the parabolic form. The good estimation will be attained by choosing 100 as size of ensembles in EnKF. The result of estimation really so closed to the analytical solution. Keywords : Analytical solution, EnKF, ensemble
Estimation of Plankton Population Using Ensemble Kalman Filter Kosala Dwidja Purnomo
Jurnal ILMU DASAR Vol 9 No 1 (2008)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (209.994 KB)

Abstract

The objective of this paper is to simulate how the Ensemble Kalman Filter (EnKF) works to estimate plankton in the one-dimensional three components ecosystem model. The analysis has been done separately between nutrition component and plankton component. The simulation demonstrated that the EnKF with 100 ensembles has as good estimation as with 1000 ensembles. It will also be ilustrated that the increasing of ensemble size in EnKF can decrease the norm of error covariance of plankton component.
PENERAPAN METODE EXTENDED KALMAN FILTER PADA KASUS PERTUMBUHAN PENDUDUK KABUPATEN JEMBER Rory Ronella Agustin; Kosala Dwidja Purnomo; Alfian Futuhul Hadi
MathVisioN Vol 1 No 02 (2019): September 2019
Publisher : Prodi Matematika FMIPA Unirow Tuban

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (182.416 KB)

Abstract

This study discusses the estimated number of people using the methods of Jember Regency Extended Kalman Filter (EKF) and determine the appropriate logistic growth model for predicting the next populations in Jember. There are two assumptions logistic growth model will be compared, first is logistic growth model assuming a linear populations function and the second is logistic growth model assuming parabolic populatins function. To determine efficiency of Extended Kalman Filter conducted trial process, using 6, 14, 28 measurements data. Each data taken from Central Statistic Agency of East Java Province during 1990-2017. Finally, this study indicate that the logistic growth model assuming parabolic populations function is an appropiate better than logistic growth model assuming a linear populations for populations in Jember during 1990-2017. The Extended Kalman Filter method is able to increase the confidence level of the estimation results indicated by getting smaller of average norm covariance error. More data used, the estimation results using Extended Kalman Filter method are getting better and closer to the real data.
Co-Authors , Kusno Afifah, Rana Arij Ahmad Kamsyakawuni Alfian Futuhul Hadi Alkhori, Ellenda Alkhori Anggi Enggar Sari Arum Andary Ratri, Arum Andary Firdaus Ubaidillah Firdaus Ubaidillah, Firdaus Fitria Iga Pramesti Hadi Siswanto Ika Hesti Agustin, Ika Hesti Jafna Kamalia Sundusia Juliyanto, Bagus Juwitarty, Novita Anggraini Kamil, Abdul Kiswara Agung Santoso Kusbudiono Kusbudiono, Kusbudiono Larasati, Indry Maris, Ingka Mawarni, Anindita Setya Nur Indah Aries Permatasri NURIL AFANDI, NURIL Pramesti, Fitria Iga Prastiwi, Ulfi Mega Rafi’ulfath R Riwansia, Rafi’ulfath R Rere Figurani Armana Retno Wulandari Riwansia, Rafi’ulfath R Rory Ronella Agustin Rusli Hidayat Siti Fatimah Suny, Vian Hafid Ubaidillah, Firdaus Vianda Nuning Fitriani Wahyuningtyas, Dita Wulandari, Eka Yuni